级数的和

And solutions given by the"exact"infinite series solution are compared with solutions calculated by the approximate formula.

比较了"精确的"无穷级数解法和高频近似解。

The structure and properties of the fiber during multistage drawing were measured by double refraction , DSC and mechanical test.

采用双折射法、DSC热分析法对不同拉伸级数的纤维进行了结构分析并测试了其力学性能和抗蠕变性能。

The time-domain response of the induced currents on a scattering object irradiated by a plane wave with a Gaussian pulse in time is expanded as an associate Hermite series in this paper. Using the isomorphism of the associate Hermite function and its Fourier transform, the frequency-domain information can be obtained similarly to the time-domain expansion. According to the corresponding relation between time-domain analysis and frequency-domain analysis, and using the early-time response and the low-frequency information of the induced currents, the non-known coefficients in the expansion series can be decided. The entire responses of the induced currents on the scattering object in both time and frequency domains can be obtained at one time by simultaneous extrapolation computation using both the early-time response and the low-frequency information of the induced currents.

摘要首先根据散射体在高斯脉冲平面波激励下感应电流的能量几乎全部集中在时间轴和频率轴上的有限范围内，该文将时域响应展开为系数待定的连带Hermite级数的叠加，并根据连带Hermite函数的傅里叶变换的自反性，得到与时域响应形式类似的频域响应；然后利用时域方法和频域方法分别计算散射体上感应电流的早时响应和低频信息；最后经过时域和频域联合外推计算，由早时响应和低频信息确定时域和频域响应的待定系数，从而获得了整个时域和频域的完全响应。

Product sum of geometric series.

几何加权级数的乘积和。

In chapter 1,by the general methods of summability methods,we establish Chover-type law of the iterated logarithm for Abel's weighted sumsand certain power series weighted sums of stable random variables.

第一章利用可和方式的典型方法，讨论了稳定随变量序列的Abel加权和及较广泛的幂级数加权和的Chover型重对数律。

It includes the following chapters: o Introduction to MATLAB o Root Approximations and Partial Fraction Expansion o Sinusoids and Complex Numbers o Matrices and Determinants o Review of Differential Equations o Power Series o Linear and Parabolic Regression o Solution of

它包括以下各章： o MATLAB o 根近似值的介绍并且部分分数展开 o Sinusoids 和复数o 矩阵和决定因素o 回顾的线的微分方程o幂级数o 和抛物线回归o 解决办法

Because some years previously in 1886 when occupied with the problem of the quadrature of the circle he had learned of the existence of a number computed to a relative degree of accuracy to be of such magnitude and of so many places, e.g., the 9th power of the 9th power of 9, that, the result having been obtained, 33 closely printed volumes of 1000 pages each of innumerable quires and reams of India paper would have to be requisitioned in order to contain the complete tale of its printed integers of units, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, tens of millions, hundreds of millions, billions, the nucleus of the nebula of every digit of every series containing succinctly the potentiality of being raised to the utmost kinetic elaboration of any power of any of its powers.

351因为几年前在一八八六年，当他埋头于探讨面积等于一个圆的正方形的问题时，他发现了一个数值的存在：倘若精确地计算到某种程度，就能达到比方说九九乘九乘这样庞大的量值和位数。所得数字要用细字密密匝匝地印刷成三十三卷，每卷一千页。为了统统印刷完毕，就需要购入无数刀、无数令印度纸，整数值的位数便是一、十、百、千、万、十万、百万、千万、亿、十亿，一切级数的一切数字作为星云的核心，以简明的形式所包含的累乘的可能性推到了极限地、能动地开展的一切乘方的一切幂级数。

First and second order linear differential equations Path integral Numerical series Functions of the real variable: sequences and series of functions, entire series, applications to Fourier series.

第一，二阶线性微分方程路径积分数值系列在实变函数：序列和职能系列，整个系列，以傅里叶级数的应用。

The LP approximation by strong summability of Fourier-Laplace series of a function defined on unit sphere is discussed.

本文讨论了球面函数的Fourier—Laplace级数的强求和在LP尺度下的逼近问题，其结果是球面上强求和的某些已有结果的补充，也可以看成一元或多元Fourier级数相应结果的球面类比。

Formulas are derived to compute hydrodynamic pressures or hydrodynamic perssure influence matrices on dams using series development and linear superposition theorem with nonvertical upstream face、the compressibitily of water、the effect of absorption of the reservoir bottom ect. being taken into account.

利用级数展开和线性叠加原理，推导了坝迎水面倾斜、库水具有可压缩性、库底具有吸收性等多种情形下，重力坝迎水面上动水压力和动水压力影响系数矩阵的计算公式。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。